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Standard XII

Physics

COM in Collision and Explosion

An object of ...

Question

An object of mass m moving with a velocity $v$ collides with another object of mass $M$ . If the two objects stick together, what is their velocity?

\frac{m}{m + M} v

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\frac{m + M}{m} v

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v

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\frac{m + M}{M} v

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Zero

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Solution

The correct option is A $\frac{m}{m + M} v$
Using the law of conservation of momentum,

$I n i t i a l m o m e n t u m = F i n a l m o m e n t u m m v + M \times 0 = (m + M) v_{2} T h u s, f i n a l v e l o c i t y, v_{2} = \frac{m v}{m + M}$

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An object of mass m moving with a velocity v collides with another object of mass M. If the two objects stick together, what is their velocity?

The correct option is A mm+MvUsing the law of conservation of momentum,Initialmomentum=Finalmomentummv+M×0=(m+M)v2Thus,finalvelocity,v2=mvm+M

An object of mass m moving with a velocity $v$ collides with another object of mass $M$ . If the two objects stick together, what is their velocity?

The correct option is A $\frac{m}{m + M} v$
Using the law of conservation of momentum,

$I n i t i a l m o m e n t u m = F i n a l m o m e n t u m m v + M \times 0 = (m + M) v_{2} T h u s, f i n a l v e l o c i t y, v_{2} = \frac{m v}{m + M}$